Robust statistics - Revision history

en>Afnazi at 19:29, 18 October 2014

2014-10-18T19:29:39Z

← Older revision		Revision as of 21:29, 18 October 2014
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	~~Nice to meet you, I am Marvella~~ Shryock. ~~Managing people has been his working day job for a whilst. To collect cash~~ is what ~~her~~ family and ~~her appreciate~~. South Dakota is where ~~I've always been living~~.<br><br>~~My web blog - std testing~~ at home, [http://~~www~~.~~dailyroads.com~~/~~profile_info~~.php?ID=~~2363798 please click the following post~~],		Hello. Let me introduce the author. Her title is Refugia Shryock. Body building is what my family and I enjoy. He used to be unemployed but now he is a computer operator but his promotion by no means comes. South Dakota is exactly where me and my husband live.<br><br>my website :: at home std test ([http://i4p.info/article.php?id=114136 address here])

en>EmausBot: Bot: Migrating 1 interwiki links, now provided by Wikidata on d:Q1665389

2014-02-11T10:31:20Z

Bot: Migrating 1 interwiki links, now provided by Wikidata on d:Q1665389

← Older revision		Revision as of 12:31, 11 February 2014
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	~~{{Infobox face-uniform tiling \|~~		Nice to meet you, I am Marvella Shryock. Managing people has been his working day job for a whilst. To collect cash is what her family and her appreciate. South Dakota is where I've always been living.<br><br>My web blog - std testing at home, [http://www.dailyroads.com/profile_info.php?ID=2363798 please click the following post],
	~~Image_File=Tiling Dual Semiregular V4-6-12 Bisected Hexagonal.svg \|~~
	~~Type=[[List of uniform tilings\|Dual semiregular tiling]]\|~~
	~~Cox={{CDD\|node_f1\|3\|node_f1\|6\|node_f1}} \|~~
	~~Face_List=[[triangle\|30-60-90 triangle]]\|~~
	~~Symmetry_Group=p6m~~, ~~[6,3], (*632)\|~~
	~~Rotation_Group = p6, [6,3]<sup>+</sup>, (632) \|~~
	~~Face_Type=V4~~.~~6.12\|~~
	~~Dual=[[truncated trihexagonal tiling]]\|~~
	~~Property_List=[[face-transitive]]\|~~
	}}

	~~In [[geometry]], the '''kisrhombille tiling''' or '''3-6 kisrhombille tiling''' is~~ a ~~tiling of the Euclidean plane~~. It is ~~constructed by congruent 30-60 degree [[right triangle]]s with 4, 6,~~ and ~~12 triangles meeting at each vertex~~.

	~~== Construction from rhombille tiling ==~~
	~~[[John Horton Conway\|Conway]] calls it a '''kisrhombille''~~'<~~ref~~>~~John H. Conway, Heidi Burgiel, Chaim Goodman~~-~~Strass~~, ~~''The Symmetries of Things'' 2008, ISBN 978-1-56881-220-5~~ [http://www.~~akpeters~~.com/~~product~~.~~asp~~?~~ProdCode~~=2205] (Chapter 21, Naming Archimedean and Catalan polyhedra and tilings, p288 table)</ref> for his [[Conway kis operator\|kis]] vertex bisector operation applied to the [[rhombille tiling]]. More specifically it can be called a '''3-6 kisrhombille''', to distinguish it from other similar hyperbolic tilings, like [[3-7 kisrhombille]].
	~~[[File:Rhombic star tiling.png\|150px\|thumb\|left\|The related [[rhombille tiling]] becomes the kisrhombille by subdivding~~ the ~~rhombic faces on it axes into four triangle faces]]~~

	~~It can be seen as an equilateral [[hexagonal tiling]] with each hexagon divided into 12 triangles from the center point. (Alternately it can be seen as a bisected [[triangular tiling]~~] ~~divided into 6 triangles~~, ~~or as an infinite [[arrangement of lines]] in six parallel families.)~~

	~~It is labeled V4.6.12 because each right triangle face has three types of vertices: one with 4 triangles, one with 6 triangles, and one with 12 triangles.~~

	~~==Dual tiling==~~
	~~It is the dual tessellation of the [[truncated trihexagonal tiling]] which has one square and one hexagon and one dodecagon at each vertex.~~
	~~:[[File:P6 dual.png\|320px]]~~

	~~== Related polyhedra and tilings ==~~
	~~The ''kisrhombille tiling'' is a part of a set of uniform dual tilings, corresponding to the dual of the truncated trihexagonal tiling.~~
	~~{{Hexagonal tiling table}}~~

	It is also topologically related to a polyhedra sequence defined by the [[face configuration]] ''V4.6.2n''. This group is special for having all even number of edges per vertex and form bisecting planes through the polyhedra and infinite lines in the plane, and continuing into the hyperbolic plane for any <math>n \ge 7.</math>

	~~With an even number of faces at every vertex, these polyhedra and tilings can be shown by alternating two colors so all adjacent faces have different colors.~~

	~~Each face on these domains also corresponds to the fundamental domain of a [[symmetry group]] with order 2,3,n mirrors at each triangle face vertex.~~

	~~{{Omnitruncated table}}~~

	~~== Practical uses ==~~

	The ''kisrhombille tiling'' is a useful starting point for making paper models of [[deltahedron\|deltahedra]], as each of the equilateral triangles can serve as faces, the edges of which adjoin isosceles triangles that can serve as tabs for gluing the model together.{{fact\|date=January 2013}}

	~~== See also ==~~
	~~{{Commonscat\|Kisrhombille tiling}}~~
	* [[Tilings of regular polygons]]
	* [[List of uniform tilings]]
	* [[Percolation threshold]]

	~~== Notes ==~~
	~~{{reflist}}~~

	~~== References ==~~
	* {{cite book\|author=[[Branko Grünbaum\|Grünbaum, Branko]] ; and Shephard, G. C.\| title=Tilings and Patterns\| location=New York \| publisher=W. H. Freeman \| year=1987 \| isbn=0-7167-1193-1}} (Chapter 2.1: ''Regular and uniform tilings'', p.58-65)
	* {{The Geometrical Foundation of Natural Structure (book)}} p41


	~~[[Category:Tessellation]]~~

en>Friend of facts2: /* See also */ Add link to unit-weighted regression

2014-01-31T21:04:29Z

See also: Add link to unit-weighted regression

← Older revision		Revision as of 23:04, 31 January 2014
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	~~Greetings! I am Marvella and I really feel comfortable when people use~~ the ~~complete title~~. ~~My working day occupation~~ is a ~~librarian~~. ~~One~~ of the ~~things he enjoys most~~ is ~~ice skating but he~~ is ~~struggling~~ to ~~discover time for it~~. ~~For~~ a ~~while she~~'~~s been~~ in ~~South Dakota.~~<br><br>~~Also visit my blog over~~ the ~~counter std test (~~[~~http://kpchurch~~.~~org/?document_srl~~=~~1359143 please click~~ the ~~next post~~])		{{Infobox face-uniform tiling \|
			Image_File=Tiling Dual Semiregular V4-6-12 Bisected Hexagonal.svg \|
			Type=[[List of uniform tilings\|Dual semiregular tiling]]\|
			Cox={{CDD\|node_f1\|3\|node_f1\|6\|node_f1}} \|
			Face_List=[[triangle\|30-60-90 triangle]]\|
			Symmetry_Group=p6m, [6,3], (*632)\|
			Rotation_Group = p6, [6,3]<sup>+</sup>, (632) \|
			Face_Type=V4.6.12\|
			Dual=[[truncated trihexagonal tiling]]\|
			Property_List=[[face-transitive]]\|
			}}

			In [[geometry]], the '''kisrhombille tiling''' or '''3-6 kisrhombille tiling''' is a tiling of the Euclidean plane. It is constructed by congruent 30-60 degree [[right triangle]]s with 4, 6, and 12 triangles meeting at each vertex.

			== Construction from rhombille tiling ==
			[[John Horton Conway\|Conway]] calls it a '''kisrhombille'''<ref>John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, ''The Symmetries of Things'' 2008, ISBN 978-1-56881-220-5 [http://www.akpeters.com/product.asp?ProdCode=2205] (Chapter 21, Naming Archimedean and Catalan polyhedra and tilings, p288 table)</ref> for his [[Conway kis operator\|kis]] vertex bisector operation applied to the [[rhombille tiling]]. More specifically it can be called a '''3-6 kisrhombille''', to distinguish it from other similar hyperbolic tilings, like [[3-7 kisrhombille]].
			[[File:Rhombic star tiling.png\|150px\|thumb\|left\|The related [[rhombille tiling]] becomes the kisrhombille by subdivding the rhombic faces on it axes into four triangle faces]]

			It can be seen as an equilateral [[hexagonal tiling]] with each hexagon divided into 12 triangles from the center point. (Alternately it can be seen as a bisected [[triangular tiling]] divided into 6 triangles, or as an infinite [[arrangement of lines]] in six parallel families.)

			It is labeled V4.6.12 because each right triangle face has three types of vertices: one with 4 triangles, one with 6 triangles, and one with 12 triangles.

			==Dual tiling==
			It is the dual tessellation of the [[truncated trihexagonal tiling]] which has one square and one hexagon and one dodecagon at each vertex.
			:[[File:P6 dual.png\|320px]]

			== Related polyhedra and tilings ==
			The ''kisrhombille tiling'' is a part of a set of uniform dual tilings, corresponding to the dual of the truncated trihexagonal tiling.
			{{Hexagonal tiling table}}

			It is also topologically related to a polyhedra sequence defined by the [[face configuration]] ''V4.6.2n''. This group is special for having all even number of edges per vertex and form bisecting planes through the polyhedra and infinite lines in the plane, and continuing into the hyperbolic plane for any <math>n \ge 7.</math>

			With an even number of faces at every vertex, these polyhedra and tilings can be shown by alternating two colors so all adjacent faces have different colors.

			Each face on these domains also corresponds to the fundamental domain of a [[symmetry group]] with order 2,3,n mirrors at each triangle face vertex.

			{{Omnitruncated table}}

			== Practical uses ==

			The ''kisrhombille tiling'' is a useful starting point for making paper models of [[deltahedron\|deltahedra]], as each of the equilateral triangles can serve as faces, the edges of which adjoin isosceles triangles that can serve as tabs for gluing the model together.{{fact\|date=January 2013}}

			== See also ==
			{{Commonscat\|Kisrhombille tiling}}
			* [[Tilings of regular polygons]]
			* [[List of uniform tilings]]
			* [[Percolation threshold]]

			== Notes ==
			{{reflist}}

			== References ==
			* {{cite book\|author=[[Branko Grünbaum\|Grünbaum, Branko]] ; and Shephard, G. C.\| title=Tilings and Patterns\| location=New York \| publisher=W. H. Freeman \| year=1987 \| isbn=0-7167-1193-1}} (Chapter 2.1: ''Regular and uniform tilings'', p.58-65)
			* {{The Geometrical Foundation of Natural Structure (book)}} p41


			[[Category:Tessellation]]

145.18.215.247: /* References */ added page number and cleaned up Rousseeuw reference, fixed formatting on He, Portnoy and Stigler references

2012-07-26T14:49:23Z

References: added page number and cleaned up Rousseeuw reference, fixed formatting on He, Portnoy and Stigler references

New page

Greetings! I am Marvella and I really feel comfortable when people use the complete title. My working day occupation is a librarian. One of the things he enjoys most is ice skating but he is struggling to discover time for it. For a while she's been in South Dakota.<br><br>Also visit my blog over the counter std test ([http://kpchurch.org/?document_srl=1359143 please click the next post])